Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 3920131285] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3550 geometric_solution 7.01246572 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 -1 -1 2 1 0 -1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538334291164 0.968350939189 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 -1 1 -1 0 1 0 1 -2 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561441085499 0.788875878272 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401155853987 0.841430586103 4 6 1 5 1230 3012 0132 2103 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561441085499 0.788875878272 2 3 4 4 0132 3012 1230 3012 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401155853987 0.841430586103 5 2 5 3 2310 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130896119020 1.103382652958 3 6 6 2 1230 3201 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561441085499 0.788875878272 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_0, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 22835294/1647965*c_0101_6^9 - 506805337/3295930*c_0101_6^8 - 258229875/1318372*c_0101_6^7 + 4925231/119852*c_0101_6^6 - 653279087/1647965*c_0101_6^5 - 4538075831/6591860*c_0101_6^4 - 3156324771/6591860*c_0101_6^3 - 1847156471/3295930*c_0101_6^2 + 405091992/1647965*c_0101_6 + 184013887/6591860, c_0011_0 - 1, c_0011_2 - 7969/59926*c_0101_6^9 - 43880/29963*c_0101_6^8 - 107439/59926*c_0101_6^7 + 10295/59926*c_0101_6^6 - 119673/29963*c_0101_6^5 - 348843/59926*c_0101_6^4 - 149028/29963*c_0101_6^3 - 347941/59926*c_0101_6^2 + 145765/59926*c_0101_6 + 14306/29963, c_0011_3 + 2819/34694*c_0101_6^9 + 30623/34694*c_0101_6^8 + 30931/34694*c_0101_6^7 - 80/83*c_0101_6^6 + 4141/1826*c_0101_6^5 + 6357/1826*c_0101_6^4 + 515/1826*c_0101_6^3 + 75681/34694*c_0101_6^2 - 63926/17347*c_0101_6 - 5381/34694, c_0011_6 + 5630/329593*c_0101_6^9 + 137549/659186*c_0101_6^8 + 293199/659186*c_0101_6^7 + 4267/29963*c_0101_6^6 + 318701/659186*c_0101_6^5 + 832575/659186*c_0101_6^4 + 415290/329593*c_0101_6^3 + 691320/329593*c_0101_6^2 - 129585/659186*c_0101_6 + 116044/329593, c_0101_0 - 1, c_0101_5 - 5630/329593*c_0101_6^9 - 137549/659186*c_0101_6^8 - 293199/659186*c_0101_6^7 - 4267/29963*c_0101_6^6 - 318701/659186*c_0101_6^5 - 832575/659186*c_0101_6^4 - 415290/329593*c_0101_6^3 - 691320/329593*c_0101_6^2 + 129585/659186*c_0101_6 + 213549/329593, c_0101_6^10 + 11*c_0101_6^9 + 13*c_0101_6^8 - 5*c_0101_6^7 + 28*c_0101_6^6 + 47*c_0101_6^5 + 28*c_0101_6^4 + 34*c_0101_6^3 - 24*c_0101_6^2 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB